Did you read my tips on how to study and learn Math 1310?  If not, here is a link to those important suggestions:

Did you read my Tips for Assignment 1?  If not, here is a link to those important suggestions:

Did you read my Tips for Assignment 2?  If not, here is a link to those important suggestions:

Here is a link to the actual assignment, in case you don't have it handy:

Note that you need to study Lesson 3 (Matrix Math), Lesson 4 (The Inverse of a Matrix and Applications) and Lesson 10 (Leontief Models) from my Matrices for Management book to prepare for this assignment.

Don't have my book?  You can download a free sample of my book and audio lectures containing Lessons 1 and  2:

A good runthrough of Matrix Math problems as taught in Lesson 3 of my book.

Make sure you have studied Lesson 4 of my book before attempting this question.  Hint: Factor S out, leaving an understood identity matrix behind.  Then isolate S using an inverse matrix.

Very similar to my question 1 in Lesson 4.

A Leontief Open Model question as taught in Lesson 10 of my book.

A Leontief Closed Model question as taught in Lesson 10 of my book.  Please disregard my trick to quickly create a zero row in these matrices.  It is an unnecessary complication.  Once you have set up your matrix, just proceed to row-reduce the way you know how and the zero stuff will take care of itself.

Note that there are always infinite solutions to these problems.  Assuming a parameter, t, shows up in your solution, a fair way is to make that value t dollars.